Analisis Modal de La Estructura de Un Puente Usando Analisis de Elementos Finitos Con ANSYS

 

7. HJU HJU]LE ]LEQKK QKKHLJ HLJ

Asta Urgmgnl, aja klfl djg`hege gkh`htgr a` gjç`hshs fleg` ea astrukturgs ea puajtas ea traj, ea ujg lrfg shfp`hdkgeg, pgrg eatarfhjgr `gs rakuajkhgs ea rasljgjkhg ea ehkcg astrukturg y `gs ealrfgkhljas g `gs fçxhfgs g `gs qua sa ajkljtrgrg slfaeg, pgrg asta gjç`hshs sa tlfl klfl raarajkhg a` grku`l ‐Fleg` Gjg`yshs ld Mrheba [truktura Qshjb Dhjhta A`afajt Gjg`yshs‖ y sa rag`hzgrg uj gjç`hshs klfpgrgvl ea `ls rasu`tgels pgrg eatarfhjgr `g aakvhege ea ehkcl shstafg ea gjç`hshs

=. DQJE DQJEGFAJ GFAJUL UL UUAL]H AL]HKL KL =. =.7. 7.

]AT ATH[ H[HHÛJ EA @HUA @HUA]G ]GUQ UQ]G ]G

A` klfplrtgfhajtl ehjçfhkl ea `ls puajtas eamhel g `g kgrbg ea vacæku`ls cg shel lmnatl ea kljsheargm`as hjvasbgkhljas axparhfajtg`as y gjg`ækgs. A` prhfar hjlrfa hfplrtgjta slmra a` gsujtl ua pum`hkgel aj 78;7 plr uj klfhtè aspakhg` ea `g G[KA. @gs raklfajegkhljas ea asta klfhtè, qua sa mgsgrlj aj egtls lmtajhels ea ujg sarha ea pruamgs ea kgfpl, kljstuyaj `g mgsa ea `gs aspakhdkgkhljas ea ehsa÷l astgelujheajsas. Aj pgrku`gr, sa raklfajeû qua `g kgrbg vhvg eamheg g `ls vacæku`ls sa hjkrafajtgrg plr ujg Drgkkhûj ea Hfpgktl (H) egeg plr `g kug` @ as `g `ljbhtue ea `g kgrbg aj phas, y a` vg`lr fçxhfl ea H as ?.=1. @g Gslkhgkhûj Astgelujheajsa ea Dujkhljgrhls ea Kgrratargs ea` Astgel kljkhmhû y pgtrlkhjû ujg hfplrtgjta hjvasbgkhûj axparhfajtg` aj 784= pgrg eatarfhjgr `ls aaktls ehjçfhkls ea `ls vacæku`ls aj flvhfhajtl aj `ls puajtas ea kgrratargs ea trgfl klrtl . @gs aspakhdkgkhljas astçjegr astçjegr pgrg puajtas ea kgrratarg ea GG[CL Y;V khtgj ujg vgrhgkhûj aj `g rgkkhûj ea hfpgktl egeg plr `g akugkhûj (7), plr `g kug` a` vg`lr fçxhfl ea H jl eama axkaear ?,;?.

 

=.=.

FLEA@L @L[[ F FG GUAFÇUHKL[

=.=.7. =.=. 7. Flea`l Flea`l ea puajta puajta A` klfplrtgfhajtl ea `g p`gtglrfg ea` puajta aj astçkg y ehjçfhkg (vhmrgkhûj `hmra y lrzgeg) a` gjç`hshs sa rhba plr `gs shbuhajtas akugkhljas> H.

Gjç`hshs astçkl Iu 6 d  

(=)

HH. HHH.

Gjç`hshs ea vhmrgkhûj `hmra (I - ψ=F) u 6 ? Gjç`h `hsshs ea vh vhmrgkhûj l lrzgeg

(;)

(5) `gs akugkhljas (=) I as `g fgtrhz ea rhbheaz ea `g kumhartg ea` puajta, u as a` vaktlr ea easp`gzgfhajtl,  as a` vaktlr ea kgrbg @gs akugkhljas sa rasua`vaj pgrg uarzgs kljlkhegs. pgrg egr easp`gzgfhajtls ea aquh`hmrhl u. A` fètlel ea @g sl`ukhûj afp`ageg as `g tèkjhkg ea sl`ukhûj rljtg`. Aj `g akugkhûj (;) F as `g fgtrhz ea fgsg ea `g kumhartg ea` puajta, `gs akugkhljas sa rasua`vaj pgrg prleukhr `gs lrfgs ea flel u y rakuajkhgs jgturg`as ψ ea `g kumhartg ea` puajta. @ls A` fètlel ea sl`ukhûj as `g htargkhûj ea` sumaspgkhl. Aj akugkhljas akugkhljas (5) K as `g fgtrhz ea gflrbugfhajtl ea `g kumhartg ea` puajta, slj `g gka`argkhûj, `g va`lkhege y vaktlras ea easp`gzgfhajtl, easp`gzgfhajtl, y  (t) as a` vaktlr ea kgrbg eamhel g vacæku`l ea kgrbg. @gs akugkhljas sa rasua`vaj faehgjta trgjslrfgkhûj g` elfhjhl ea rakuajkhg u`hzgjel a` fètlel ea raspuastg klfp`anl

=.=.=. =.=. =. Fle Flea`l a`l ea` vac vacæku`l æku`l A` flea`l ea vacæku`l easgrrl``gel pgrg a` gjç`hshs aj asta astuehl. sa mgsg aj a` parfhsl ea kgrbg ea` vacæku`l, qua as uj hfplrtgjta flea`l pgrg a` gjç`hshs astrukturg` ea puajtas raklrrhels plr vacæku`ls pasgels A` tèrfhjl vacæku`l ea parfhsl as ra`gkhljgel klj a` raquhshtl ea vacæku`ls pasgels pgrg lmtajar uj parfhsl pgrg vhgngr aj puajtas ea kgrratargs, yg qua ajaj `g kgpgkhege ea eg÷gr l plshm`afajta kl`gpsgr `ls puajtas. @gs prhjkhpg`as k`gsas ea vacæku`l ea parfhsl `gs kgrbgs sa eashbjgj klfl _2, _8, _77 y _7;. As mhaj sgmhel qua ujg kgrbg aj flvhfhajtl aj uj puajta prleuka ujg fgylr easvhgkhûj y fgylras tajshljas qua cgka `g fhsfg kgrbg gktugjel astçkgfajta. Q`hzgjel g` prhjkhphl ea` trgmgnl vhrtug`, sa cg astgm`akhel qua `g easvhgkhûj ea ujg vhbg shfp`afajta slplrtgeg, ea ajvarbgeurg @, eamhel g` pgsl ea ujg sl`g kgrbg kljkajtrgeg _ aj ujg va`lkhege kljstgjta v, dburg (7), vhaja egeg plr shbuhajta axprashûj>

 

vhbg y g= 6 AH / f. @g axprashûj gjtarhlr as `g fhsfg qua pgrg uj cgz shfp`afajta gplygel slmra a` qua gktþg ujg uarzg grfûjhkg (shjuslheg`) klj ujg rakuajkhg ea

lrzgfhaj lrzgf hajtl tl ea ea gp`hkg gp`hkgel el g ujg ehstgj ehstgjkhg khg x 6 vt. @g prhfar prhfarg g sarh sarha a ea ea `g sl sl`uk `ukhûj hûj raprasajtg vhmrgkhljas lrzgegs, lrzgegs, y `g sabujeg sarha partajaka g `gs vhmrgkhljas `hmras ea` cgz. G faeheg qua gufajtg `g va`lkhege v, sa g`kgjzg ujg kljehkhûj aj `g qua a` vg`lr ea ujl ea `ls eajlfhjgelras aj `g akugkhûj (1) sa vua`va hbug` g karl. [h sa suplja qua

`ls eajlfhjgelras aj `ls prhfarls tèrfhjls ea gfmgs sarhas aj `g akugkhûj (1) sa vua`vaj hbug`as g karl9 y `g sufg ea astls els tèrfhjls sarç

@g axprashûj aja `g lrfg hjeatarfhjgeg ?/? y sa avg`þg gp`hkgjel `g rab`g ea @'Clphtg`.

@g akugkhûj (3) aja su vg`lr fçxhfl kugjel t 6 @ /v y as hbug` h bug` g

 

sa gp`hkg, y a` vg`lr ea `g raspuastg aj kug`quhar pujtl g `l `grbl ea `g kumhartg ea` puajta as hbug` g `g sufg ea `gs raspuastgs aj a` fhsfl pujtl kgusgegs plr `gs kgrbgs tlfgegs plr sapgrgel.

=.=.;. Dgktlras ea gfp`hkgkhûj ehjçfhkg A` gktlr ea gfp`hdkgkhûj ehjçfhkg (EGD) (3,7?,77,7;) vhaja egel plr

Eljea EG (gfp`hdkgkhûj ehjçfhkg) as `g ra`gkhûj ajtra `g raspuastg ehjçfhkg fçxhfg y `g raspuastg astçkg fçxhfg, y gfmls vg`lras ea raspuastg slj ea shbjls heèjkls. @gs aspakhdkgkhljas astçjegr astçjegr pgrg puajtas ea kgrratarg ea GG[CUL cgj pravhstl `ls aaktls ehjçfhkls ea `gs kgrbgs ea `ls vacæku`ls aj `ls puajtas faehgjta `g hjk`ushûj ea ujg rgkkhûj ea hfpgktl (H) eadjheg plr `g akugkhûj (7), `g raspuastg ea kgrbg vhvg sa fu`p`hkg plr (H + 7) pgrg lmtajar `g raspuastg tltg` eamhel g `g kgrbg ea` vacæku`l. A` vg`lr fçxhfl ea `g rgkkhûj ea hfpgktl (H) subarhel plr GG[CUL as ?.;, astl klrraspljea g uj trgfl shfp`a ea 57.2 phas (7=.27 f) y tlels `ls trgfls fçs klrtls usgj a` vg`lr ea ?.; pgrg a` hfpgktl

Dhburg 7 Kgrbg kljkajtrgeg qua sa fuava g `l `grbl ea ujg vhbg shfp`afajta slplrtgeg g va`lkhege kljstgjta

 

;.

_]LKA[L AJ GJ[X[

_grg `g shfu`gkhûj aj GJ[X[ ea asta trgmgnl, uarlj jakasgrhls `ls egtls prlplrkhljgels plr a` pgpar. Aj prhfar `ubgr, sa eadjhû `gs kgrgktaræskgs kgrgktaræskgs jakasgrhgs ea `ls fgtarhg`as, tg`as klfl eajshege, fûeu`l ea Xlujb y kljstgjta ea _lhsslj. _lstarhlr fajta, sa brgdkgrlj `ls p`gjls klj `gs raspakvgs ehfajshljas ea juastrls sû`hels, gsufhajel uj `grbl ea =?f pgrg tlel a` sû`hel y uj aspaslr ea ?.1f pgrg `g `lzg

Egtls ea fgtarhg`as usgels aj a` _gpar  

Ehfajshljas ea `g astrukturg ea` _gpar

 

 

HHH.7. HHH. 7. Kljburg Kljburgkhûj khûj ea Egtls Egtls ea Fgtarhg`a Fgtarhg`ass aj GJ[X[ H.

Gsdg`tl

HH.

]lkg ea Dljel

HHH.

Kljkratl

 

HHH.=. HHH. =. Kljburg Kljburgkhûj khûj ea Egtls Egtls ea Fgtarhg` Fgtarhg`as as aj GJ[X[   H.

Ehfajshljas ea Astrukturg mgsa

 

  HH.

Ehfajsh shl ljas ea ra``ajl ea furls

 

HHH.

Brgkgjel @@l lzg ssu uparhlr

 

HT.

Axtrushûj e ea a ssl l`hel a aj j= =? ?f

 

 

  HHH.;. HHH. ;. Flea`ge Flea`gel l ea ea sh shstafg stafg GJ[X[ GJ[X[

 

H.

Kljburgr A`afajtls ea fgtarhg`as

 

 

HH HH..

Klj Kljbu burg rgkh khûj ûj ea supa supar rkh khas as ea kljt kljtgk gktl tlss

 

 

HH HHHH.

Klj Kljburg burgkh khûj ûj ea fg`` fg``ge gel l Aspgkhgel 4

Fatlel tatrgaerl

 

HT.. HT

klj kljbu burg rgkh khûj ûj 7= dr drak akua uajk jkhg hgss j jlr lrfg fg`a `ass

 

T.

[lplrta Dhnl ea 7? kgrgs

TH.. TH

Ead Eadlrfg rfgkhlj hljas tlt tltg` g`as as

 

5.

]A[Q@UGEL[

@ls rasu`tgels ea asta trgmgnl, jl uarlj `ls easagels, shj afmgrbl, ua ujg fuy muajg gyueg pgrg fanlrgr juastrl kljlkhfhajtl slmra a` kg`ku`l ea a`afajtls djhtls y gjç`hshs fleg`.

H.

Fg``gel ea `g astrukturg

Klj raspaktl g` fg``gel ea `g astrukturg, a` pgpar jls hjehkg qua sa u`hzl uj fg``gel [l`he731 ea =? jlels y uj [l`he734 ea 7= jlels

g. Fg Fg`` ``ge gel le ea a pg pgpa parr _lr ltrg pgrta, a` fg``gel qua u`hzgfls aj asta prlyaktl, ua uj fg``gel klj fètlel ea tatrgaerls, klj uj aspgkhgel ea 4. Xg qua sa u`hzû a` ‐GJ[X[ Rlrimajkc‖, jl ua plshm`a usgr `ls fg``gels [l`he731 klj =? jlels y [l`he734 klj 7= jlels, yg qua a` prlyaktl ea` _gpar ua rag`hzgel klj a` ‐GJ[X[ Fakcgjhkg` G_E@‖. _lr a``l jl ua plshm`a raphkgr a` fhsfl fg``gel

 

m. Fg Fg`` ``ge gel lu u` `hz hzge gel l

HH.

Drakuajkhgs ea trgmgnl

Easpuès ea fukcgs pruamgs, jl ua plshm`a hbug`gr `gs rakuajkhgs jlrfg`as ea pgpar, shj afmgrbl, sa raeunl `l fçxhfl plshm`a a` arrlr aj kgeg pruamg, sa eatarfhjû qua a` ehsa÷l ea `g astrukturg rag`hzgel aj ‐GJ[X[ EashbjFlea`ar‖, jls prlplrkhljû fukcl fanlras rasu`tgels aj a` kç`ku`l ea gjç`hshs fleg`, qua a` rag`hzgel aj ‐Gutleasi Hjvajtlr‖ .

J¿

Drakuajkhgs Jgturg`as lmtajheg

Drakuajkhgs Jgturg`as ea _gpar

A%

7.

?.

?.77==;A-?5

7??%

=.

?.

?.;1245A-?5

7??%

;.

7.???5a-??1

?.455??A-?5

-15;.25%

5.

73.?18

?.7?31?A-?;

7??%

1.

73.3=;

4.738;

42.77%

4.

=7.=82

8.5=;7

11.21%

2.

=1.155

7;.881

51.=7%

3.

=4.?72

72.?5;

;5.58%

8.

;;.58=

=?.?8?

5?.?7%

7?.

;;.3?7

==.874

;=.=?%

77.

;;.824

;=.?15

1.41%

 

7=.

5;.838

HHH HH..

;;.=?;

=5.17%

Eadlr adlrf fgkhl khljas Fçxhfg hfgs

G eharajkhg klj ltrgs pruamgs rag`hzgegs, aj astg þ`fg sa lmtuvl ealrfgkhljas fukcl fgs brgjeas, hjk`usl supargjel `gs ealrfgkhljas ea` pgpar. Astls arrlras sa eamaj tgjtl plr `gs ehfajshljas qua tuvharlj qua sar gsufhegs, klfl slj a` `grbl y a` aspaslr ea `g `lzg.

1.

J¿

Eadlrfgkhûj Fçxhfg Lmtajheg

Eadlrfgkhûj Fçxhfg ea _gpar

7

?.?811?7

;.=27A-;

7??%

= ;

?.?2527= ?.7?5

;.5==A-; =.5=2A-;

7??% 7??%

5

?.?34725

7.55?A-;

7??%

1

?.7=481

=.2;3A-;

7??%

4

?.7;372

;.587A-;

7??%

2

?.773;8

7.121A-;

7??%

3

?.752;5

=.22=A-;

7??%

8

?.71748

;.31;A-;

7??%

7?

?.?31331

=.577A-;

7??%

77

?.?3?==4

;.?72A-;

7??%

7=

?.71;75

;.178A-;

7??%

A%

Lm Lmsa sarv rvgk gkhl hlja jass y/l rak raklf lfaj ajeg egkh khlj ljas as y/ y/l l kl klfa fajt jtgr grhl hlss

 

G. Klfl Klfl `l eafu eafuast astrg rg a` a` pgpar pgpar,, a` ‐GJ[X[ Fakcgjhkg` G_E@‖ parfhta

`g kragkhûj ea uj fg``gel fçs eatg``gel, g su vaz as ujg carrgfhajtg fukcl fçs prlashljg`. M. A` rasu`tgel rasu`tgel lmtajhe lmtajhel l aj a` gjç`hshs gjç`hshs fleg` puaea puaea sar gaktgel gaktgel tgjtl tgjtl plr a` fgtarhg` y `gs ehfajshljas ea` sl`hel K. A` pl ea ajfg``g ajfg``gel el ea `g astruktu astrukturg rg puaea puaea fanlrgr fanlrgr `g prakhshûj prakhshûj ea juastrls rasu`tgels djg`as

4.

Kljk`ushljas

Ast sta a trgm rgmgnl jls par arf fhû hû gjg`h `hzg zgrr ea ujg lrf lrfg g rç rçph pheg eg y saj ajkkh` h``g `g a` klfplrtgfhajtl ea uj puajta ea traj, gkh`htçjeljls kljlkar `gs rakuajkhgs jgturg`as ea` fhsfl faehgjta a` gjç`hshs ea a`afajtls djhtls y a` gjç`hshs fleg`. Brgkhgs g astl sa kljk`uya, qua `g rakuajkhg ea rasljgjkhg ea` puajta jl eama ea hbug`gr `gs rakuajkhgs jûrfg`a lmtajhegs, pgrg avhtgr qua a` puajta puaeg eg÷grsa l g``gr.

2. -

]adarajkhgs

Egvhe G.F, Gjhs G.I.., (=?7?), GJG@X[H[ LD UCA EXJGFHK MACGTHLQ] LD U-MAGF M]HEBA EAKI[ EQA UL CAGTXRAHBCU TACHK@A[, TACHK@A[, Afhrgtas Nlurjg` dlr Ajbhjaarhjb ]asagrkc, 71 (=), =8-;8 (=?7?)

 

 

3.

Gjaxls>